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Finding the Fourth Proportional to 4,307.84, 6,427.06 and 3,892.64

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Solution

The fourth proportional to 4,307.84, 6,427.06 and 3,892.64 is: 5,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.84 : 6,427.06 = 3,892.64 : x
  2. Step 2: Convert to fraction form
    4,307.84/6,427.06 = 3,892.64/x
  3. Step 3: Cross multiply
    4,307.84x = 6,427.06 × 3,892.64
  4. Step 4: Simplify right side
    4,307.84x = 25,018,230.84
  5. Step 5: Solve for x
    x = 25,018,230.84/4,307.84
  6. Step 6: Final answer
    x = 5,807.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.